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Finding the Fourth Proportional to 6,941.62, 9,562.82 and 5,741.61

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Solution

The fourth proportional to 6,941.62, 9,562.82 and 5,741.61 is: 7,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.62 : 9,562.82 = 5,741.61 : x
  2. Step 2: Convert to fraction form
    6,941.62/9,562.82 = 5,741.61/x
  3. Step 3: Cross multiply
    6,941.62x = 9,562.82 × 5,741.61
  4. Step 4: Simplify right side
    6,941.62x = 54,905,982.94
  5. Step 5: Solve for x
    x = 54,905,982.94/6,941.62
  6. Step 6: Final answer
    x = 7,909.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.